GCF of 3882/904, 3420/899
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3882/904, 3420/899 i.e 6/812696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3882/904, 3420/899.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3882/904,3420/899?
Given fractions are 3882/904,3420/899
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3882/904,3420/899, numerators are 3882,3420
Denominators are 904,899
The GCF of 3882,3420 is 6 .
LCM of 904,899 is 812696.
The greatest common factor of 3882/904,3420/899 = [GCF of 3882,3420]/[LCM of 904,899]= 6/812696
Therefore, the GCF of 3882/904,3420/899 is 6/812696.
To find the highest common factor of 3882,3420, we have to find the factors of both numbers and list the highest common factor.
The factors of 3882 are 1, 2, 3, 6, 647, 1294, 1941, 3882
The factors of 3420 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 30, 36, 38, 45, 57, 60, 76, 90, 95, 114, 171, 180, 190, 228, 285, 342, 380, 570, 684, 855, 1140, 1710, 3420
The HCF of 3882,3420 is 6.
Lets's calculate GCF of 3882,3420
| 2 | 3882, 3420 |
| 3 | 1941, 1710 |
| 647, 570 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3882,3420 By Matching Biggest Common Factor Method
Now, list down the factors of 3882
:1,2,3,6,647,1294,1941,3882
Now, list down the factors of 3420
:1,2,3,4,5,6,9,10,12,15,18,19,20,30,36,38,45,57,60,76,90,95,114,171,180,190,228,285,342,380,570,684,855,1140,1710,3420
Greatest Common Factor
We found the factors 3882,3420 . The biggest common factor number is the GCF number.
So the greatest common factor 3882,3420 is 6.
Lets's calculate LCM of 904,899
Given numbers has no common factors except 1. So, there LCM is their product i.e 812696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/812696
Therefore, the GCF of Fractions 3882/904,3420/899 is 6/812696
Least Common Multiple of 904,899 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 904,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,899) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(904,899) x common factors =1 x 1 = 1
LCM(904,899) = ( 904 × 899 ) / 1
LCM(904,899) = 812696 / 1
LCM(904,899) = 812696
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FAQs on GCF of Fractions of 3882/904, 3420/899
1. What is the HCF of 3882,3420?
The HCF of 3882,3420 is 6
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3882/904, 3420/899?
Answer: GCF of Numerators as per given numbers 3882/904, 3420/899 is
GCF of Numerators i.e. for 3882,3420 is 6
LCM of denominators i.e. for 904,899 is 812696.
Thus, GCF of Fractions is 6/812696.Finally, GCF of Fractions for 3882/904, 3420/899 is 6/812696.